Mister Exam

Derivative of 1/x²

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
1 
--
 2
x 
$$\frac{1}{x^{2}}$$
1/(x^2)
Detail solution
  1. Let .

  2. Apply the power rule: goes to

  3. Then, apply the chain rule. Multiply by :

    1. Apply the power rule: goes to

    The result of the chain rule is:


The answer is:

The graph
The first derivative [src]
-2  
----
   2
x*x 
$$- \frac{2}{x x^{2}}$$
The second derivative [src]
6 
--
 4
x 
$$\frac{6}{x^{4}}$$
The third derivative [src]
-24 
----
  5 
 x  
$$- \frac{24}{x^{5}}$$
The graph
Derivative of 1/x²